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Finding the Fourth Proportional to 123,602.48, 185,403.36 and 106,912.88

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Solution

The fourth proportional to 123,602.48, 185,403.36 and 106,912.88 is: 160,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,602.48 : 185,403.36 = 106,912.88 : x
  2. Step 2: Convert to fraction form
    123,602.48/185,403.36 = 106,912.88/x
  3. Step 3: Cross multiply
    123,602.48x = 185,403.36 × 106,912.88
  4. Step 4: Simplify right side
    123,602.48x = 19,822,007,179.28
  5. Step 5: Solve for x
    x = 19,822,007,179.28/123,602.48
  6. Step 6: Final answer
    x = 160,369.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.